Yah I can’t see it either
Setting
, you have
. Then the integral becomes
Now,
in general. But since we want our substitution
to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means
, which implies that
, or equivalently that
. Over this domain,
, so
.
Long story short, this allows us to go from
to
Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get
Then integrate term-by-term to get
Now undo the substitution to get the antiderivative back in terms of
.
and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to
Answer:
y = x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = = =
y = x ← equation of line
Answer:
300%
Step-by-step explanation:
Given
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
Where k is the constant of proportionality
When x decreased by 50%
Expand
Substitute for y
The percentage change is then calculated as:
<em>The percentage in y is 300%</em>
Answer:
screw this question
Step-by-step explanation:
To change from 15% to 25% he needs to add 10%.
If the solution is 50ml then he needs to add 10% which is 5ml... But if he adds 5 ml then the solution will be 55ml total, so that doesn't make sense. He has to take some of the solution that's not acid before adding the 5ml...